Pith Number

pith:7EL2QGA4

pith:2006:7EL2QGA465UINXRCYAQ7W7PMOA

not attested not anchored not stored refs pending

Optimal Path and Minimal Spanning Trees in Random Weighted Networks

E. Lopez, H. E. Stanley, L. A. Braunstein, R. Cohen, S. Havlin, S. Sreenivasan, S. V. Buldyrev, T. Kalisky, Y. Chen, Z. Wu

arxiv:cond-mat/0606338 v4 · 2006-06-14 · cond-mat.dis-nn · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EL2QGA465UINXRCYAQ7W7PMOA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:39:45.498536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f917a8181cf76886de22c021fb7dec701deb6a376875ab4a6a8915e88166458f

Aliases

arxiv: cond-mat/0606338 · arxiv_version: cond-mat/0606338v4 · doi: 10.48550/arxiv.cond-mat/0606338 · pith_short_12: 7EL2QGA465UI · pith_short_16: 7EL2QGA465UINXRC · pith_short_8: 7EL2QGA4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7EL2QGA465UINXRCYAQ7W7PMOA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f917a8181cf76886de22c021fb7dec701deb6a376875ab4a6a8915e88166458f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512d4a3e4c69c3dac40602d6c6b99e12e7a7a725467011fc4014beddabf44ea0",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2006-06-14T18:47:22Z",
    "title_canon_sha256": "770457b2119716e06af8dbc184594fe81ca65d352a181d2023e04626811043c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0606338",
    "kind": "arxiv",
    "version": 4
  }
}